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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "delayed_updating/syntax/path_depth.ma".
-include "delayed_updating/syntax/path_reverse.ma".
-
-(* DEPTH FOR PATH ***********************************************************)
-
-(* Constructions with reverse ***********************************************)
-
-lemma depth_reverse (p):
-      ♭p = ♭pᴿ.
-#p elim p -p //
-* [ #n ] #p #IH <reverse_lcons
-[ <depth_d_sn <depth_d_dx //
-| <depth_m_sn <depth_m_dx //
-| <depth_L_sn <depth_L_dx //
-| <depth_A_sn <depth_A_dx //
-| <depth_S_sn <depth_S_dx //
-]
-qed.